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Finding the Fourth Proportional to 12,975.40, 19,467.90 and 4,210.60

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Solution

The fourth proportional to 12,975.40, 19,467.90 and 4,210.60 is: 6,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.40 : 19,467.90 = 4,210.60 : x
  2. Step 2: Convert to fraction form
    12,975.40/19,467.90 = 4,210.60/x
  3. Step 3: Cross multiply
    12,975.40x = 19,467.90 × 4,210.60
  4. Step 4: Simplify right side
    12,975.40x = 81,971,539.74
  5. Step 5: Solve for x
    x = 81,971,539.74/12,975.40
  6. Step 6: Final answer
    x = 6,317.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.